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Answer:
f(x)=x-6
Step-by-step explanation:
Given : Parent function :
To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
Solution:
Parent function :
Shift the given function down by 6 units.
Rule : The graph f(x) shifts down by b units
So, f(x)→f(x)-b
So, Shift the given function down by 6 units.
So, f(x)→f(x)-6
f(x)=x
So, x→x-6
So, the new function is f(x)=x-6
Answer:
Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:
We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:
Solving for m2:
Now we know the slope of the new line, we use the slope-point form of the line:
Where m is the slope and (h,k) is the point. Using the provided point (-5,2):